Quote or Underline? Please Help!!?

I believe that in either case, quotations are correct. "Sleeping Beauty" is a fairy tale. These tales along with short stories, song titles, poems, and other forms of the spoken word in writing all belong in quotations. Unless you are referencing the ballet performance of _Sleeping_Beauty_, the Disney movie of the same title, or another copyrighted piece carrying that exact title, you should be using quotations.